On existence of solutions for fractional differential equations with nonlocal multi-point boundary conditions
- Authors: Houas M.1,2, Dahmani Z.1,2
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Affiliations:
- Department of Mathematics
- Laboratory LPAM, UMAB
- Issue: Vol 37, No 2 (2016)
- Pages: 120-127
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197388
- DOI: https://doi.org/10.1134/S1995080216020050
- ID: 197388
Cite item
Abstract
This paper investigates the existence of solutions for a boundary value problem of nonlinear fractional differential equations with nonlocal boundary conditions. We use Banach fixed point theorem to prove an existence and uniqueness result. Then, by using O’Regan fixed point theorem, we prove an existence result. Finally, illustrative examples of our main results are presented.
About the authors
M. Houas
Department of Mathematics; Laboratory LPAM, UMAB
Author for correspondence.
Email: houasmed@yaooo.fr
Algeria, Khemis Miliana; Mostaganem
Z. Dahmani
Department of Mathematics; Laboratory LPAM, UMAB
Email: houasmed@yaooo.fr
Algeria, Khemis Miliana; Mostaganem